Engineering Aspects of Unconventional Oil and Gas Reservoirs ...
Engineering Aspects of Unconventional Oil and Gas Reservoirs ...
Engineering Aspects of Unconventional Oil and Gas Reservoirs ...
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Decline Analysis — Arps Relations: Base Relations<br />
Loss Ratio:<br />
1 qg<br />
<br />
D dq / dt<br />
Loss Ratio Derivative:<br />
b<br />
d<br />
<br />
dt<br />
g<br />
q<br />
<br />
<br />
dq<br />
<br />
<br />
q<br />
g<br />
<br />
q<br />
gi<br />
exp[ D t]<br />
g<br />
gi<br />
qg<br />
<br />
g / dt (1<br />
bD )<br />
(1/ b)<br />
<br />
it<br />
q<br />
i<br />
Trans., AIME (1945) 160, 228-247.<br />
Analysis <strong>of</strong> Decline Curves<br />
J.J. Arps<br />
Question(s):<br />
●How were the Arps' rate relations derived?<br />
The BASIS for the Arps' relations — i.e.,<br />
the behavior <strong>of</strong> the D- <strong>and</strong> b- parameters,<br />
is derived from OBSERVATIONS. These<br />
are empirical results.<br />
[TAB]<br />
Case Rate-Time Relation Cumulative-Time Relation<br />
qg<br />
qgiexp[ Dit]<br />
qgi<br />
Gp<br />
[1<br />
exp[ Dit]]<br />
D<br />
Exponential:(b=0)<br />
Hyperbolic: (0
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